Question

If f(x) = 3x2 – 2 and g(x) = 2x + 4, find (f – g)(x).

A. 3x2 – 2x – 6
B. 2x – 3x2 – 2
C. 3x2 – 2x + 2
D. x2 + 2

Answer 1

b is the answer 3x2 -2x -2

Answer 2

The correct answer is:A. 3x^2 −2x−6

To find (f−g)(x), you subtract g(x) from f(x).

So,(f−g)(x)=f(x)−g(x)

Given that

f(x)=3x^2 −2 and g(x)=2x+4, let's substitute these into the expression:

(f−g)(x)=(3x^2 −2)−(2x+4)

Now, distribute the negative sign:

(f−g)(x)=3x^2 −2−2x−4

Combine like terms:

(f−g)(x)=3x^2 −2x−6

So, the correct answer is:A. 3x^2 −2x−6